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annotate nss/lib/freebl/ecl/ecp_mont.c @ 4:b513267f632f tip

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Build DBM module
author Andre Heinecke <andre.heinecke@intevation.de>
date Tue, 05 Aug 2014 18:58:03 +0200
parents 1e5118fa0cb1
children
rev   line source
0
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diff changeset
1 /* This Source Code Form is subject to the terms of the Mozilla Public
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2 * License, v. 2.0. If a copy of the MPL was not distributed with this
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3 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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4
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5 /* Uses Montgomery reduction for field arithmetic. See mpi/mpmontg.c for
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6 * code implementation. */
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7
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8 #include "mpi.h"
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9 #include "mplogic.h"
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10 #include "mpi-priv.h"
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11 #include "ecl-priv.h"
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12 #include "ecp.h"
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13 #include <stdlib.h>
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14 #include <stdio.h>
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15
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16 /* Construct a generic GFMethod for arithmetic over prime fields with
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17 * irreducible irr. */
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18 GFMethod *
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19 GFMethod_consGFp_mont(const mp_int *irr)
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20 {
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21 mp_err res = MP_OKAY;
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22 GFMethod *meth = NULL;
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23 mp_mont_modulus *mmm;
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24
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25 meth = GFMethod_consGFp(irr);
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26 if (meth == NULL)
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27 return NULL;
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28
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29 mmm = (mp_mont_modulus *) malloc(sizeof(mp_mont_modulus));
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30 if (mmm == NULL) {
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31 res = MP_MEM;
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32 goto CLEANUP;
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33 }
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34
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35 meth->field_mul = &ec_GFp_mul_mont;
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36 meth->field_sqr = &ec_GFp_sqr_mont;
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37 meth->field_div = &ec_GFp_div_mont;
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38 meth->field_enc = &ec_GFp_enc_mont;
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39 meth->field_dec = &ec_GFp_dec_mont;
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40 meth->extra1 = mmm;
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41 meth->extra2 = NULL;
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42 meth->extra_free = &ec_GFp_extra_free_mont;
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43
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44 mmm->N = meth->irr;
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45 mmm->n0prime = 0 - s_mp_invmod_radix(MP_DIGIT(&meth->irr, 0));
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46
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47 CLEANUP:
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48 if (res != MP_OKAY) {
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49 GFMethod_free(meth);
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50 return NULL;
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51 }
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52 return meth;
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53 }
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54
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55 /* Wrapper functions for generic prime field arithmetic. */
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56
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57 /* Field multiplication using Montgomery reduction. */
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58 mp_err
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59 ec_GFp_mul_mont(const mp_int *a, const mp_int *b, mp_int *r,
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60 const GFMethod *meth)
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61 {
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62 mp_err res = MP_OKAY;
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63
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64 #ifdef MP_MONT_USE_MP_MUL
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65 /* if MP_MONT_USE_MP_MUL is defined, then the function s_mp_mul_mont
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66 * is not implemented and we have to use mp_mul and s_mp_redc directly
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67 */
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68 MP_CHECKOK(mp_mul(a, b, r));
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69 MP_CHECKOK(s_mp_redc(r, (mp_mont_modulus *) meth->extra1));
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70 #else
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71 mp_int s;
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72
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73 MP_DIGITS(&s) = 0;
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74 /* s_mp_mul_mont doesn't allow source and destination to be the same */
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75 if ((a == r) || (b == r)) {
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76 MP_CHECKOK(mp_init(&s));
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77 MP_CHECKOK(s_mp_mul_mont
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78 (a, b, &s, (mp_mont_modulus *) meth->extra1));
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79 MP_CHECKOK(mp_copy(&s, r));
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80 mp_clear(&s);
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81 } else {
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82 return s_mp_mul_mont(a, b, r, (mp_mont_modulus *) meth->extra1);
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83 }
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84 #endif
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85 CLEANUP:
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86 return res;
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87 }
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88
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89 /* Field squaring using Montgomery reduction. */
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90 mp_err
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91 ec_GFp_sqr_mont(const mp_int *a, mp_int *r, const GFMethod *meth)
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92 {
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93 return ec_GFp_mul_mont(a, a, r, meth);
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94 }
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95
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96 /* Field division using Montgomery reduction. */
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97 mp_err
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98 ec_GFp_div_mont(const mp_int *a, const mp_int *b, mp_int *r,
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99 const GFMethod *meth)
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100 {
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101 mp_err res = MP_OKAY;
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102
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103 /* if A=aZ represents a encoded in montgomery coordinates with Z and #
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104 * and \ respectively represent multiplication and division in
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105 * montgomery coordinates, then A\B = (a/b)Z = (A/B)Z and Binv =
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106 * (1/b)Z = (1/B)(Z^2) where B # Binv = Z */
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107 MP_CHECKOK(ec_GFp_div(a, b, r, meth));
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108 MP_CHECKOK(ec_GFp_enc_mont(r, r, meth));
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109 if (a == NULL) {
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110 MP_CHECKOK(ec_GFp_enc_mont(r, r, meth));
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111 }
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112 CLEANUP:
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113 return res;
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114 }
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115
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116 /* Encode a field element in Montgomery form. See s_mp_to_mont in
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117 * mpi/mpmontg.c */
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118 mp_err
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119 ec_GFp_enc_mont(const mp_int *a, mp_int *r, const GFMethod *meth)
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120 {
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121 mp_mont_modulus *mmm;
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122 mp_err res = MP_OKAY;
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123
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124 mmm = (mp_mont_modulus *) meth->extra1;
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125 MP_CHECKOK(mp_copy(a, r));
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126 MP_CHECKOK(s_mp_lshd(r, MP_USED(&mmm->N)));
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127 MP_CHECKOK(mp_mod(r, &mmm->N, r));
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128 CLEANUP:
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129 return res;
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130 }
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131
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132 /* Decode a field element from Montgomery form. */
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133 mp_err
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134 ec_GFp_dec_mont(const mp_int *a, mp_int *r, const GFMethod *meth)
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135 {
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136 mp_err res = MP_OKAY;
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137
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138 if (a != r) {
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139 MP_CHECKOK(mp_copy(a, r));
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140 }
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141 MP_CHECKOK(s_mp_redc(r, (mp_mont_modulus *) meth->extra1));
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142 CLEANUP:
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143 return res;
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144 }
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145
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146 /* Free the memory allocated to the extra fields of Montgomery GFMethod
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147 * object. */
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148 void
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149 ec_GFp_extra_free_mont(GFMethod *meth)
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150 {
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151 if (meth->extra1 != NULL) {
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152 free(meth->extra1);
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153 meth->extra1 = NULL;
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154 }
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155 }
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